Fractional calculus, as a useful analytical toolbox, has attracted an increasing attention from scholars [1]}. Due to its nonlocal property, fractional calculus play a key role in diverse application of science and engineering, such as diffusion model [2]}, compartment model [3]}, automatic control [4]}, neural network [5]}, etc. Especially, tempered fractional calculus, which introduces an extra tempered function, has many merits, and henceforth many researchers have deployed themselves to explore valuables results for such class of fractional calculus. A huge work has been done for this subject [6]}, [7]}, [8]}, [9]}, which makes a positive and profound impact.
